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PreprintCC BY 4.0arXiv

Dynamics tuning with reservoir computer control

Abstract

We present an equation-free method for maintaining a dynamical system operating in a desired regime, even as system parameters are disturbed in such a way that qualitatively different dynamics would emerge. This method allows for real-time identification of changes made to a system's evolution equations induced by the parameter changes. If the equations governing the original system's dynamics are known, our method can allow one to determine the values of the parameters in real time. We illustrate our method with numerical examples using a reservoir computer control implementation.

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BibTeX
@misc{ravishankar2026dynamics,
  title = {{Dynamics tuning with reservoir computer control}},
  author = {Krithikesh Ravishankar and Juan G. Restrepo and Per Sebastian Skardal},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.22496},
  eprint = {2609.22496},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.22496},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Dynamics tuning with reservoir computer control
AU  - Krithikesh Ravishankar
AU  - Juan G. Restrepo
AU  - Per Sebastian Skardal
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.22496
UR  - https://arxiv.org/abs/2609.22496
AB  - We present an equation-free method for maintaining a dynamical system operating in a desired regime, even as system parameters are disturbed in such a way that qualitatively different dynamics would emerge. This method allows for real-time identification of changes made to a system's evolution equations induced by the parameter changes. If the equations governing the original system's dynamics are known, our method can allow one to determine the values of the parameters in real time. We illustrate our method with numerical examples using a reservoir computer control implementation.
ER  -